The conjugate flow of a film down a heated vertical wall of finite len
gth is investigated theoretically. It is shown that the momentum bound
ary-lager equation leads to an exact solution for the velocity field,
but the energy equation is nonsimilar. Solutions of this nonsimilar eq
uation, subject to appropriate boundary conditions; are obtained numer
ically using an efficient finite-difference scheme. Series solutions w
hich are valid near the leading edge of the wall and far downstream ar
e also obtained and compared with the corresponding numerical solution
s. The distribution of the surface wall temperature and in the film re
gion are also determined for values of the Prandtl number of 0.6 (air)
and 6.7 (water).